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Majoring in Mathematics (view source)

Revision as of 03:10, October 18, 2009

333 bytes added ,  03:10, October 18, 2009
→‎Geometry: improved description of geometry, nice reference to the double-bubble conjecture!
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=== Geometry ===
 
=== Geometry ===
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In college math, "geometry" does not refer to more work on Euclidian high school geometry.  Instead, college geometry includes a challenging field known as "differential geometry."  This includes Tensor Calculus, Riemannian Geometry,
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Covariant Vector Fields, Minkowskian Manifolds, and General Relativity.
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Some problems include:
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# The Theorema Egregium - that there exists a quality inherent to a surface no matter how it is "bent."
 
# The Theorema Egregium - that there exists a quality inherent to a surface no matter how it is "bent."
 
# What happens if we remove some the Euclidean postulates taught in high school?  Specifically, the parallel postulate?
 
# What happens if we remove some the Euclidean postulates taught in high school?  Specifically, the parallel postulate?
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